Physics

Physics

Problem

Show that the formula P=VIP = VI is dimensionally consistent, i.e. verify that the dimensional formula obtained from the right-hand side equals that of power.
Intuitive explanation

Dimensional analysis is about checking that an equation makes physical sense by tracking what units (or dimensions) each quantity carries. Here, you'll express voltage VV and current II in terms of fundamental dimensions—mass, length, time, and charge—then multiply them together to see if you get the same dimensions as power (energy per unit time). It's a quick way to catch algebra mistakes and understand why formulas work.

Intuitive explanation

Dimensional analysis is about checking that an equation makes physical sense by tracking what units (or dimensions) each quantity carries. Here, you'll express voltage VV and current II in terms of fundamental dimensions—mass, length, time, and charge—then multiply them together to see if you get the same dimensions as power (energy per unit time). It's a quick way to catch algebra mistakes and understand why formulas work.

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